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Nothing of interest in advice section

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$\\simplify{{a2}x+{b2}}=\\simplify{{d2}x+{c2}}$

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Solve for $x$:

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Nothing of interest in advice section

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$\\simplify{{a2}x+{b2}}=\\simplify{{d2}x+{c2}}$

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$x=$

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Rearrange the following so that x is the subject (i.e. x=...)

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Solve for $x$:

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Nothing of interest in advice section

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$\\var{b}+\\frac{x}{\\var{a}} =\\var{c}$

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$x$=

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Solve for $x$:

", "tags": ["functions", "maps", "quadratics"], "advice": "

Nothing of interest in advice section

", "ungrouped_variables": ["a", "b", "c"], "rulesets": {}, "variable_groups": [], "functions": {}, "metadata": {"licence": "None specified", "description": "

Rearrange the following so that x is the subject (i.e. x=...)

"}, "preamble": {"js": "", "css": ""}, "type": "question"}, {"name": "emma's copy of Rearranging 1.3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "emma rand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/115/"}], "variables": {"b": {"group": "Ungrouped variables", "templateType": "anything", "name": "b", "definition": "random(-5..9 except [a,0])", "description": ""}, "c": {"group": "Ungrouped variables", "templateType": "anything", "name": "c", "definition": "random(-5..5 except [0])", "description": ""}, "a": {"group": "Ungrouped variables", "templateType": "anything", "name": "a", "definition": "random(-5..5 except [0])", "description": ""}}, "variablesTest": {"condition": "", "maxRuns": 100}, "parts": [{"prompt": "

$\\var{b}+\\frac{x}{\\var{a}} =\\var{c}$

\n

$x$=

\n

", "scripts": {}, "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrangepoints": 5, "expectedvariablenames": [], "showFeedbackIcon": true, "answer": "({c}-{b})*{a}", "checkingaccuracy": 0.001, "showpreview": true, "marks": 1, "type": "jme", "vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "checkvariablenames": false}], "statement": "

Solve for $x$:

", "tags": ["functions", "maps", "quadratics"], "advice": "

Nothing of interest in advice section

", "ungrouped_variables": ["a", "b", "c"], "rulesets": {}, "variable_groups": [], "functions": {}, "metadata": {"licence": "None specified", "description": "

Rearrange the following so that x is the subject (i.e. x=...)

"}, "preamble": {"js": "", "css": ""}, "type": "question"}, {"name": "emma's copy of Rearranging 1.3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "emma rand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/115/"}], "variables": {"b": {"group": "Ungrouped variables", "templateType": "anything", "name": "b", "definition": "random(-5..9 except [a,0])", "description": ""}, "c": {"group": "Ungrouped variables", "templateType": "anything", "name": "c", "definition": "random(-5..5 except [0])", "description": ""}, "a": {"group": "Ungrouped variables", "templateType": "anything", "name": "a", "definition": "random(-5..5 except [0])", "description": ""}}, "variablesTest": {"condition": "", "maxRuns": 100}, "parts": [{"prompt": "

$\\var{b}+\\frac{x}{\\var{a}} =\\var{c}$

\n

$x$=

\n

", "scripts": {}, "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrangepoints": 5, "expectedvariablenames": [], "showFeedbackIcon": true, "answer": "({c}-{b})*{a}", "checkingaccuracy": 0.001, "showpreview": true, "marks": 1, "type": "jme", "vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "checkvariablenames": false}], "statement": "

Solve for $x$:

", "tags": ["functions", "maps", "quadratics"], "advice": "

Nothing of interest in advice section

", "ungrouped_variables": ["a", "b", "c"], "rulesets": {}, "variable_groups": [], "functions": {}, "metadata": {"licence": "None specified", "description": "

Rearrange the following so that x is the subject (i.e. x=...)

"}, "preamble": {"js": "", "css": ""}, "type": "question"}, {"name": "emma's copy of Rearranging 1.3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "emma rand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/115/"}], "variables": {"b": {"group": "Ungrouped variables", "templateType": "anything", "name": "b", "definition": "random(-5..9 except [a,0])", "description": ""}, "c": {"group": "Ungrouped variables", "templateType": "anything", "name": "c", "definition": "random(-5..5 except [0])", "description": ""}, "a": {"group": "Ungrouped variables", "templateType": "anything", "name": "a", "definition": "random(-5..5 except [0])", "description": ""}}, "variablesTest": {"condition": "", "maxRuns": 100}, "parts": [{"prompt": "

$\\var{b}+\\frac{x}{\\var{a}} =\\var{c}$

\n

$x$=

\n

", "scripts": {}, "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrangepoints": 5, "expectedvariablenames": [], "showFeedbackIcon": true, "answer": "({c}-{b})*{a}", "checkingaccuracy": 0.001, "showpreview": true, "marks": 1, "type": "jme", "vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "checkvariablenames": false}], "statement": "

Solve for $x$:

", "tags": ["functions", "maps", "quadratics"], "advice": "

Nothing of interest in advice section

", "ungrouped_variables": ["a", "b", "c"], "rulesets": {}, "variable_groups": [], "functions": {}, "metadata": {"licence": "None specified", "description": "

Rearrange the following so that x is the subject (i.e. x=...)

"}, "preamble": {"js": "", "css": ""}, "type": "question"}, {"name": "emma's copy of Rearranging 1.3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "emma rand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/115/"}], "variables": {"b": {"group": "Ungrouped variables", "templateType": "anything", "name": "b", "definition": "random(-5..9 except [a,0])", "description": ""}, "c": {"group": "Ungrouped variables", "templateType": "anything", "name": "c", "definition": "random(-5..5 except [0])", "description": ""}, "a": {"group": "Ungrouped variables", "templateType": "anything", "name": "a", "definition": "random(-5..5 except [0])", "description": ""}}, "variablesTest": {"condition": "", "maxRuns": 100}, "parts": [{"prompt": "

$\\var{b}+\\frac{x}{\\var{a}} =\\var{c}$

\n

$x$=

\n

", "scripts": {}, "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrangepoints": 5, "expectedvariablenames": [], "showFeedbackIcon": true, "answer": "({c}-{b})*{a}", "checkingaccuracy": 0.001, "showpreview": true, "marks": 1, "type": "jme", "vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "checkvariablenames": false}], "statement": "

Solve for $x$:

", "tags": ["functions", "maps", "quadratics"], "advice": "

Nothing of interest in advice section

", "ungrouped_variables": ["a", "b", "c"], "rulesets": {}, "variable_groups": [], "functions": {}, "metadata": {"licence": "None specified", "description": "

Rearrange the following so that x is the subject (i.e. x=...)

"}, "preamble": {"js": "", "css": ""}, "type": "question"}, {"name": "emma's copy of Rearranging 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "emma rand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/115/"}], "functions": {"g'": {"definition": "a^2", "type": "number", "language": "jme", "parameters": [["a", "number"]]}, "f'": {"definition": "cos(a)", "type": "number", "language": "jme", "parameters": [["a", "number"]]}, "g": {"definition": "a", "type": "number", "language": "jme", "parameters": [["a", "number"]]}, "f": {"definition": "sin(a)", "type": "number", "language": "jme", "parameters": [["a", "number"]]}}, "ungrouped_variables": [], "tags": ["functions", "maps", "quadratics"], "preamble": {"css": "", "js": ""}, "advice": "

Nothing of interest in advice section

", "rulesets": {}, "parts": [{"vsetrangepoints": 5, "prompt": "

$ax+b=c$

\n

$x=$

", "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "(c-b)/a", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "prompt": "

$(a-b)x+2a-b=b$

\n

$x=$

", "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "-2", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "prompt": "

$-qx+q-p=0$

\n

$x=$

", "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "1-p/q", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "prompt": "

$\\frac{(1+b)}{(x+a)}=\\frac{b}{a}$

\n

$x=$

", "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "a/b", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"stepsPenalty": 0, "vsetrangepoints": 5, "prompt": "

$ax+5=bx+10$

\n

$x=$

", "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "

Does this equation always have a solution?

", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "showCorrectAnswer": true, "scripts": {}, "answer": "5/(a-b)", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "statement": "

Rearrange the following equations to make $x$ is the subject (i.e. $x=    $)

", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {}, "metadata": {"notes": "", "description": "

Rearrange the following so that x is the subject (i.e. x=...)

", "licence": "None specified"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "emma's copy of Rearranging 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "emma rand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/115/"}], "functions": {"g'": {"definition": "a^2", "type": "number", "language": "jme", "parameters": [["a", "number"]]}, "f'": {"definition": "cos(a)", "type": "number", "language": "jme", "parameters": [["a", "number"]]}, "g": {"definition": "a", "type": "number", "language": "jme", "parameters": [["a", "number"]]}, "f": {"definition": "sin(a)", "type": "number", "language": "jme", "parameters": [["a", "number"]]}}, "ungrouped_variables": [], "tags": ["functions", "maps", "quadratics"], "preamble": {"css": "", "js": ""}, "advice": "

Nothing of interest in advice section

", "rulesets": {}, "parts": [{"vsetrangepoints": 5, "prompt": "

$x^2-a^2+a=a$

\n

$x=$

", "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "a", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "prompt": "

$x^2+a=b$

\n

$x=$

", "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "(b-a)^(1/2)", "marks": "1", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "prompt": "

$\\frac{ax+b}{x+1}=c$

\n

$x=$

", "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "(b-c)/(c-a)", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "prompt": "

$(x+a)^2-(x+b)(x+c)=0$

\n

$x=$

", "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "(b*c-a^2)/(2a-b-c)", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "prompt": "

$\\frac{1}{x+1}+a=\\frac{a}{x+1}-c$

", "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "-(c+1)/(c+a)", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "statement": "

What does $x$ equal? If there is more than one answer just give the positive one

", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {}, "metadata": {"notes": "", "description": "

Rearrange the following so that x is the subject (i.e. x=...)

", "licence": "None specified"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}]}], "duration": 0, "navigation": {"browse": true, "showresultspage": "oncompletion", "onleave": {"message": "", "action": "none"}, "preventleave": true, "reverse": true, "showfrontpage": true, "allowregen": true}, "showstudentname": true, "name": "06C Session 1: Rearranging", "percentPass": 80, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "

25 marks worth of questions on rearranging (n.b. assumes quadratics in some places)

"}, "showQuestionGroupNames": false, "type": "exam", "contributors": [{"name": "emma rand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/115/"}], "extensions": [], "custom_part_types": [], "resources": []}